Calculus of variations and nonlinear partial differential equations : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27-July 2, 2005
著者
書誌事項
Calculus of variations and nonlinear partial differential equations : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 27-July 2, 2005
(Lecture notes in mathematics, 1927)
Springer , Fondazione CIME, c2008
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注記
Includes bibliographical references
内容説明・目次
内容説明
This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro, Italy in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.
目次
Transport Equation and Cauchy Problem for Non-Smooth Vector Fields.- Issues in Homogenization for Problems with Non Divergence Structure.- A Visit with the ?-Laplace Equation.- Weak KAM Theory and Partial Differential Equations.- Geometrical Aspects of Symmetrization.- CIME Courses on Partial Differential Equations and Calculus of Variations.
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